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Finding the Fourth Proportional to 7,054.97, 9,736.16 and 3,911.16

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Solution

The fourth proportional to 7,054.97, 9,736.16 and 3,911.16 is: 5,397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.97 : 9,736.16 = 3,911.16 : x
  2. Step 2: Convert to fraction form
    7,054.97/9,736.16 = 3,911.16/x
  3. Step 3: Cross multiply
    7,054.97x = 9,736.16 × 3,911.16
  4. Step 4: Simplify right side
    7,054.97x = 38,079,652.81
  5. Step 5: Solve for x
    x = 38,079,652.81/7,054.97
  6. Step 6: Final answer
    x = 5,397.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.